Answer:
a - b = 12
Step-by-step explanation:
Given
= 12 ← factor the numerator
a² - b² ← is a difference of squares and factors as
a² - b² = (a - b)(a + b)
Thus
= 12
Cancel the common factor (a + b) on numerator/ denominator, thus
a - b = 12
Answer:
m=-1/3
Step-by-step explanation:
To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁
So you would have 3-4 divided by 0-(-3)
And then you would get -1/3
Answer:
The answer is A
Step-by-step explanation:
4.53 - 4.06 = .47
.47 is 10.4% of 4.53
First we define variables:
x: Money Peter receives
y: Money Paul receives
z: Money Jane receives
We write the system of equations:
x / y = 13/12
x / z = 13/7
x = z + 78
Solving the system we have:
x = $ 169
y = 156 $
z = 91 $
Answer:
Paul gets 156 $
<h3>
Answer: (x-2)(x-2)</h3>
This is the same as 
============================================
Explanation:
The middle coefficient is -4 and the last term is 4.
We need to find factors of the last term that add to the middle coefficient.
Here is a list of all ways to multiply two integers to get 4, and the sum of each pair of factors.
- -1 + (-4) = -5
- -2 + (-2) = -4
- 2 + 2 = 4
- 1 + 4 = 5
The second row of that list above is what we're after. So
-2 + (-2) = -4
-2 * (-2) = 4
Meaning the factorization is (x-2)(x-2). Note the "-2" values in each factor
We can use the FOIL rule or distribution to go from (x-2)(x-2) back to x^2-4x+4 to confirm the answer.